Math 152 Week in Review

Sections 8.9, 9.3, 9.4

1. Determine whether the integral converges or diverges:

a) b) c)

d) e) f)

2. Evaluate the integral or show it diverges:

a) b) c)

d) e) f)

9.3 Arc length

Find the length of the arc described by:

3. a)

b)

4.

5.

9.4 Surface area for a surface of revolution

Find the surface area if the given curve is rotated about the specified axis:

6. a) rotated about the x-axis b) Set up only if rotated about the y-axis

7. rotated about the x-axis

8. a) rotated about the x-axis b) set up only if rotated about the y-axis

9. #20 in Stewart 9.4 rotated about the x-axis

10. #22 in Stewart 9.4 Find the surface area of the torus of #63, section 7.2.

Also do it with the theorem of Pappus section 9.5